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Simplifying 10y2 + -18y + 9 = 0 Reorder the terms: 9 + -18y + 10y2 = 0 Solving 9 + -18y + 10y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.9 + -1.8y + y2 = 0 Move the constant term to the right: Add '-0.9' to each side of the equation. 0.9 + -1.8y + -0.9 + y2 = 0 + -0.9 Reorder the terms: 0.9 + -0.9 + -1.8y + y2 = 0 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + -1.8y + y2 = 0 + -0.9 -1.8y + y2 = 0 + -0.9 Combine like terms: 0 + -0.9 = -0.9 -1.8y + y2 = -0.9 The y term is -1.8y. Take half its coefficient (-0.9). Square it (0.81) and add it to both sides. Add '0.81' to each side of the equation. -1.8y + 0.81 + y2 = -0.9 + 0.81 Reorder the terms: 0.81 + -1.8y + y2 = -0.9 + 0.81 Combine like terms: -0.9 + 0.81 = -0.09 0.81 + -1.8y + y2 = -0.09 Factor a perfect square on the left side: (y + -0.9)(y + -0.9) = -0.09 Can't calculate square root of the right side. The solution to this equation could not be determined.
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